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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 534 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 215. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 42. What is the smaller number?
  4. 4.The sum of two numbers is 126 and their difference is 66. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 135. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 90. What is the smaller number?
  8. 8.The sum of two numbers is 49 and their difference is 37. What is the larger number?
  9. 9.The sum of two numbers is 67 and their difference is 5. What is the larger number?
  10. 10.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 5 consecutive numbers is 95. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  15. 15.The sum of 4 consecutive numbers is 158. What is the largest of them?
  16. 16.The sum of two numbers is 176 and their difference is 16. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 175. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  19. 19.The sum of two numbers is 36 and their difference is 22. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 19. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 6. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  24. 24.The sum of two numbers is 184 and their difference is 14. What is the larger number?
  25. 25.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 66. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  30. 30.The sum of two numbers is 117 and their difference is 79. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 21. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 5. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 36. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  37. 37.The sum of two numbers is 21 and their difference is 5. What is the larger number?
  38. 38.The sum of two numbers is 28 and their difference is 2. What is the larger number?
  39. 39.One number is 3 times another. Their difference is 78. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 14. What is the smaller number?

Answer key

  1. 10
  2. 45
  3. 21
  4. 30
  5. 49
  6. 29
  7. 18
  8. 43
  9. 36
  10. 58
  11. 89
  12. 21
  13. 67
  14. 49
  15. 41
  16. 80
  17. 35
  18. 52
  19. 7
  20. 32
  21. 19
  22. 6
  23. 57
  24. 99
  25. 27
  26. 18
  27. 23
  28. 30
  29. 29
  30. 19
  31. 56
  32. 21
  33. 43
  34. 5
  35. 36
  36. 42
  37. 13
  38. 15
  39. 39
  40. 7

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